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Resonance pacemakers in excitable media.
Tabitha Ruvarashe Chigwada1, P Parmananda, Kenneth Showalter
1Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA.
Physical Review Letters
|August 16, 2006
Summary
Local periodic forcing can initiate chemical waves in excitable media through resonance. This study demonstrates how light-induced changes in a photosensitive Belousov-Zhabotinsky medium create complex resonance patterns and trigger traveling waves.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Pattern formation
Background:
- Excitable media exhibit complex spatiotemporal dynamics.
- Resonance phenomena can drive transitions in nonlinear systems.
- Controlling chemical wave initiation is crucial for understanding pattern formation.
Purpose of the Study:
- To investigate the initiation of chemical waves via local periodic forcing in an excitable medium.
- To explore the role of resonance in controlling wave generation.
- To characterize the complex patterns arising from varying forcing parameters.
Main Methods:
- Utilized a photosensitive Belousov-Zhabotinsky (BZ) reaction.
- Applied local periodic forcing to modulate medium excitability via light intensity.
- Analyzed wave initiation and propagation patterns as a function of forcing amplitude and frequency.
Main Results:
- Demonstrated successful initiation of chemical waves through resonance with local periodic forcing.
- Observed complex resonance patterns dependent on forcing amplitude and frequency.
- Showcased the transition from a quiescent state to a periodic traveling wave state.
Conclusions:
- Local resonance-induced forcing is an effective method for initiating chemical waves in excitable media.
- The study provides insights into controlling complex chemical dynamics through external periodic stimuli.
- Findings contribute to the fundamental understanding of pattern formation and wave propagation in nonlinear systems.